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Model on picometer-level light gravitational delay in the GRACE Follow-On-like missions

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Chinese Physics B 2024年第11期33卷 82-93页

作者： Jin-Zhuang Dong Wei-Sheng Huang cheng-gang Qin Yu-Jie Tan cheng-gang shao MOE Key Laboratory of Fundamental Physical Quantities Measurement & Hubei Key Laboratory of Gravitation and Quantum Physics PGMF and School of PhysicsHuazhong University of Science and TechnologyWuhan 430074China

Laser interferometry plays a crucial role in laser ranging for high-precision space missions such as GRACE(Gravity Recovery and Climate Experiment)Follow-On-like missions and gravitational wave *** such accuracy of modern space missions,a precise relativistic model of light propagation is *** the post-Newtonian approximation,we utilize the Synge world function method to study the light propagation in the Earth’s gravitational field,deriving the gravitational delays up to order c^(−4).Then,we investigate the influences of gravitational delays in three inter-satellite laser ranging techniques,including one-way ranging,dual one-way ranging,and transponder-based *** combining the parameters of Kepler orbit,the gravitational delays are expanded up to the order of e^(2)(e is the orbital eccentricity).Finally,considering the GRACE Follow-On-like missions,we estimate the gravitational delays to the level of *** results demonstrate some high-order gravitational and coupling effects,such as c^(−4)-order gravitational delays and coupling of Shapiro and beat frequency,which may be non-negligible for higher precision laser ranging in the future.

关键词： classical general relativity post-Newtonian approximation phase shifting interferometry

Energy in critical collapse

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Communications in Theoretical Physics 2023年第12期75卷 97-104页

作者： Yu Hu Jun-Qi Guo Junbin Li cheng-gang shao Hongsheng Zhang MOE Key Laboratory of Fundamental Physical Quantities Measurement Hubei Key Laboratory of Gravitation and Quantum PhysicsPGMFand School of PhysicsHuazhong University of Science and TechnologyWuhan 430074HubeiChina School of Physics and Technology University of JinanJinan 250022ShandongChina Department of Mathematics Sun Yat-sen UniversityGuangzhou 510275GuangdongChina

We study the energy issue in critical *** is found that in critical collapse,the contribution from the material energy is greater than that from the gravitational *** quantity m/r plays an important role in identifying the formation of an apparent horizon in gravitational collapse,where m is the Misner-Sharp mass and r is the areal *** observe that in critical collapse,the maximum value of m/r fluctuates between 2/15 and 4/*** denotes a large gap between critical collapse and black hole formation for which the criterion is m/r=1/2.

关键词： quasi-local energy critical collapse numerical relativity

Correlation method estimation of the modulation signal in the weak equivalence principle test

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Chinese Physics B 2018年第8期27卷 136-142页

作者： Jie Luo Liang-cheng Shen cheng-gang shao Qi Liu Hui-Jie Zhang School of Mechanical Engineering and Electronic Information China University of GeosciencesWuhan 430074China MOE Key Laboratory of Fundamental Physical Quantities Measurements Hubei Key Laboratory of Gravitation and Quantum PhysicsSchool of PhysicsHuazhong University of Science and TechnologyWuhan 430074China TIANQIN Research Center for Gravitational Physics School of Physics and AstronomySun Yat-sen UniversityZhuhai 519082China

In a test of the weak equivalence principle （WEP） with a rotating torsion pendulum, it is important to estimate the amplitude of the modulation signal with high precision. We use a torsional filter to remove the free oscillation signal and employ the correlation method to estimate the amplitude of the modulation signal. The data analysis of an experiment shows that the uncertainties of amplitude components of the modulation signal obtained by the correlation method are in agreement with those due to white noise. The power spectral density of the modulation signal obtained by the correlation method is about one order higher than the thermal noise limit. It indicates that the correlation method is an effective way to estimate the amplitude of the modulation signal and it is instructive to conduct a high-accuracy WEP test.

关键词： weak equivalence principle test correlation method amplitude estimation thermal noise limit

Quasinormal oscillations and late-time tail of massless scalar perturbations of a magnetized black hole in Rastall gravity

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Chinese Physics C 2022年第10期46卷 215-229页

作者： Cai-Ying shao Yu-Jie Tan cheng-gang shao Kai Lin Wei-Liang Qian MOE Key Laboratory of Fundamental Physical Quantities Measurement Hubei Key Laboratory of Gravitation and Quantum PhysicsPGMFand School of PhysicsHuazhong University of Science and Technology430074 WuhanChina Hubei Subsurface Multi-scale Imaging Key Laboratory Institute of Geophysics and GeomaticsChina University of Geosciences430074 WuhanChina Escola de Engenharia de Lorena Universidade de Sao Paulo12602-810LorenaSPBrazil Faculdade de Engenharia de Guaratinguetá Universidade Estadual Paulista12516-410GuaratinguetáSPBrazil and Center for Gravitation and Cosmology School of Physical Science and TechnologyYangzhou University225002 YangzhouChina

In this study,we investigate the quasinormal mode and late-time tail of charged massless scalar perturbations of a black hole in generalized Rastall *** black hole metric in question is spherically symmetric,accompanied by a power-Maxwell field surrounded by a quintessence *** show that the massless scalar field,when dressed up with the magnetic field,acquires an effective mass,which significantly affects the properties of the resultant quasinormal oscillations and late-time ***,the quasinormal frequencies become distorted and might even be unstable for particular spacetime ***,the exponent of the usual power-law tail is modified according to the modification in the structure of the branch cut of the retarded Green s *** particular,as the effective mass is generated dynamically owing to the presence of the magnetic field,we may consider a process through which the field is gradually removed from the spacetime *** this context,while the quasinormal oscillations converge to the case of massless perturbations,we argue that the properties of resultant late-time tails do not fall back to their massless *** relevant characteristics are investigated using numerical and analytic approaches.

关键词： black hole quasinormal modes late-time tail Rastall gravity

Influence of the Earth's rotation on measurement of gravitational constant G with the time-of-swing method

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Chinese Physics B 2020年第2期29卷 137-141页

作者： Jie Luo Tao Dong cheng-gang shao Yu-Jie Tan Hui-Jie Zhang School of Mechanical Engineering and Electronic Information China University of GeosciencesWuhan 430074China MOE Key Laboratory of Fundamental Physical Quantities Measurement&Hubei Key Laboratory of Gravitation and Quantum Physics PGMF and School of PhysicsHuazhong University of Science and TechnologyWuhan 430074China

In the measurement of the Newtonian gravitational constant G with the time-of-swing method,the influence of the Earth's rotation has been roughly estimated before,which is far beyond the current experimental ***,we present a more complete theoretical modeling and assessment *** figure out this effect,we use the relativistic Lagrangian expression to derive the motion equations of the torsion *** the correlation method and typical parameters,we estimate that the influence of the Earth's rotation on G measurement is far less than 1 ppm,which may need to be considered in the future high-accuracy experiments of determining the gravitational constant G.

关键词： the Earth's rotation relativistic Lagrangian G measurement time-of-swing method

Effect of Raman-pulse duration related to the magnetic field gradient in high-precision atom gravimeters

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Chinese Physics B 2018年第3期27卷 137-145页

作者： Yuan cheng Yu-Jie Tan Min-Kang Zhou Xiao-Chun Duan cheng-gang shao Zhong-Kun Hu MOE Key Laboratory of Fundamental Physical Quantities Measurements Hubei Key Laboratory of Gravitation and Quantum PhysicsSchool of PhysicsHuazhong University of Science and TechnologyWuhan 430074China

The effect of the Raman-pulse duration related to the magnetic field gradient, as a systematic error, is playing an important role on evaluating the performance of high-precision atomic gravimeters. We study this effect with a simplified theoretical model of the time-propagation operator. According to the typical parameters, we find that this effect should be taken into account when the gravimeter reaches an accuracy of 10^-10g, and the larger the pulse duration is, the more obvious the systematic effect will be. Finally, we make a simple discussion on the possibility of testing this effect.

关键词： atom gravimeters magnetic field gradient Raman-pulse duration time-propagation operator

Precision measurement of the Newtonian gravitational constant

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National Science Review 2020年第12期7卷 1803-1817页

作者： Chao Xue Jian-Ping Liu Qing Li Jun-Fei Wu Shan-Qing Yang Qi Liu cheng-gang shao Liang-cheng Tu Zhong-Kun Hu Jun Luo Tian Qin Research Center for Gravitational Physics & School of Physics and Astronomy Sun Yat-sen University(Zhuhai Campus) MOE Key Laboratory of Fundamental Physical Quantities Measurement & Hubei Key Laboratory of Gravitation and Quantum Physics PGMF and School of PhysicsHuazhong University of Science and Technology

The Newtonian gravitational constant G,which is one of the most important fundamental physical constants in nature,plays a significant role in the fields of theoretical physics,geophysics,astrophysics and *** G was the first physical constant to be introduced in the history of science,it is considered to be one of the most difficult to measure accurately so *** the past two decades,eleven precision measurements of the gravitational constant have been performed,and the latest recommended value for G published by the Committee on Data for Science and Technology(CODATA) is(6.674 08 ±0.000 31) × 10m~3 kgswith a relative uncertainty of 47 parts per *** uncertainty is the smallest compared with previous CODATA recommended values of G;however,it remains a relatively large uncertainty among other fundamental physical *** this paper we briefly review the history of the G measurement,and introduce eleven values of G adopted in CODATA 2014 after 2000 and our latest two values published in 2018 using two independent methods.

关键词： precision measurement Newtonian gravitational constant CODATA

Parameter estimation for Einstein-dilaton-Gauss-Bonnet gravity with ringdown signals

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Chinese Physics C 2023年第10期47卷 213-224页

作者：邵才莹胡宇邵成刚 MOE Key Laboratory of Fundamental Physical Quantities Measurement Hubei Key Laboratory of Gravitation and Quantum PhysicsPGMFand School of PhysicsHuazhong University of Science and TechnologyWuhan 430074China

Future space-based gravitational-wave detectors will detect gravitational waves with high sensitivity in the millihertz frequency band,providing more opportunities to test theories of gravity than ground-based *** study of quasinormal modes(QNMs)and their application in gravity theory testing have been an important aspect in the field of gravitational *** this study,we investigate the capability of future space-based gravitational wave detectors,such as LISA,TaiJi,and TianQin,to constrain the dimensionless deviating parameter for Einsteindilaton-Gauss-Bonnet(EdGB)gravity with ringdown signals from the merger of binary black *** ringdown signal is modeled by the two strongest QNMs in EdGB *** time-delay interferometry,we calculate the signal-to-noise ratio of different space-based detectors for ringdown signals to analyze their *** Fisher information matrix is employed to analyze the accuracy of parameter estimation,with particular focus on the dimensionless deviating parameter for EdGB *** impact of the parameters of gravitational wave sources on the estimation accuracy of the dimensionless deviating parameter is also *** find that the constraint ability of EdGB gravity is limited because the uncertainty of the dimensionless deviating parameter increases with a decrease in the dimensionless deviating *** and TaiJi offer more advantages in constraining the dimensionless deviating parameter to a more accurate level for massive black holes,whereas TianQin is more suited to less massive black *** Bayesian inference method is used to perform parameter estimation on simulated data,which verifies the reliability of the conclusion.

关键词： Einstein-dilaton-Gauss-Bonnet gravity quasinormal modes space-based gravitational-wave detection parameter estimation

Optimal estimation of the amplitude of signal with known frequency in the presence of thermal noise

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Chinese Physics B 2019年第10期28卷 274-281页

作者： Jie Luo Jun Ke Yi-Chuan Liu Xiang-Li Zhang Wei-Ming Yin cheng-gang shao School of Mechanical Engineering and Electronic Information China University of GeosciencesWuhan 430074China MOE Key Laboratory of Fundamental Physical Quantities Measurement School of PhysicsHuazhong University of Science and Technology (HUST)Wuhan 430074China

In the torsion pendulum experiments, the thermal noise sets the most fundamental limit to the accurate estimation of the amplitude of the signal with known frequency. The variance of the conventional method can meet the limit only when the measurement time is much longer than the relaxation time of the pendulum. By using the maximum likelihood estimation and the equation-of-motion filter operator, we propose an optimal(minimum variance, unbiased) amplitude estimation method without limitation of the measurement time, where thermal fluctuation is the leading noise. While processing the experimental data tests of the Newtonian gravitational inverse square law, the variance of our method has been improved than before and the measurement time of determining the amplitude with this method has been reduced about half than before for the same uncertainty. These results are significant for the torsion experiment when the measurement time is limited.

关键词： optimal amplitude estimation thermal noise torsion pendulum measurement time